45134400 has 84 divisors (see below), whose sum is σ = 148094192. Its totient is φ = 12034560.

The previous prime is 45134389. The next prime is 45134407. The reversal of 45134400 is 443154.

It is a super-2 number, since 2×45134400² = 4074228126720000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (45134407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 99 + ... + 9501.

Almost surely, 2^45134400 is an apocalyptic number.

45134400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74047096).

45134400 is an abundant number, since it is smaller than the sum of its proper divisors (102959792).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

45134400 is a wasteful number, since it uses less digits than its factorization.

45134400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9428 (or 9413 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 45134400 is about 6718.2140483911. The cubic root of 45134400 is about 356.0430869871.

Adding to 45134400 its reverse (443154), we get a palindrome (45577554).

The spelling of 45134400 in words is "forty-five million, one hundred thirty-four thousand, four hundred".